A manufacturer has a monthly fixed cost of $100,000 and a production cost of $10 for each unit produ | MathCelebrity Forum

A manufacturer has a monthly fixed cost of $100,000 and a production cost of $10 for each unit produ

math_celebrity

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A manufacturer has a monthly fixed cost of $100,000 and a production cost of $10 for each unit produced. The product sells for $22/unit.

The cost function for each unit u is:
C(u) = Variable Cost * Units + Fixed Cost
C(u) = 10u + 100000

The revenue function R(u) is:
R(u) = 22u

We want the break-even point, which is where:
C(u) = R(u)
10u + 100000 = 22u

Typing this equation into our search engine, we get:
u =8333.33
 
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